Probing of violation of Lorentz invariance by ultracold neutrons in the standard model extension. (English) Zbl 1427.81199
Summary: We analyze a dynamics of ultracold neutrons (UCNs) caused by interactions violating Lorentz invariance within the Standard Model Extension (SME) [V. A. Kostelecký, “Gravity, Lorentz violation, and the standard model”, Phys. Rev. D (3) 69, No. 10, Article ID 105009, 20 p. (2004; doi:10.1103/physrevd.69.105009); with D. Colladay, “CPT violation and the standard model”, ibid. 55, No. 11, 6760–6774 (1997; doi:10.1103/physrevd.55.6760)]. We use the effective non-relativistic potential for interactions violating Lorentz invariance derived by V. A. Kostelecký and C. D. Lane [J. Math. Phys. 40, No. 12, 6245–6253 (1999; Zbl 0964.81027)] and calculate contributions of these interactions to the transition frequencies of transitions between quantum gravitational states of UCNs bouncing in the gravitational field of the Earth. Using the experimental sensitivity of qBounce experiments we make some estimates of upper bounds of parameters of Lorentz invariance violation in the neutron sector of the SME which can serve as a theoretical basis for an experimental analysis. We show that an experimental analysis of transition frequencies of transitions between quantum gravitational states of unpolarized and polarized UCNs should allow to place some new constraints in comparison to the results adduced by V. A. Kostelecký and N. Russell [“Data tables for Lorentz and CPT violation”, Rev. Mod. Phys. 83, No. 1, 12 p. (2011, doi:10.1103/RevModPhys.83.11), 115 p. (2019), arXiv:0801.0287v12].
MSC:
| 81V22 | Unified quantum theories |
Citations:
Zbl 0964.81027References:
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